Question

Given triangle PQR, angle R = 90, MP = 18, angle PQR = 75.

a. PQ = 18
b. QR = 18
c. PR = 18
d. MPQ = 75

Answer 1

To find the length of side PQ, you can use the tangent function. Given the angle PQR = 75 degrees and angle R = 90 degrees, substitute the values into the tangent formula and solve for PQ. The correct answer is QR = 18.

Step-by-step explanation:

To find the length of side PQ, we can use the trigonometric function tangent. Given angle PQR = 75 degrees and angle R = 90 degrees, we can use the tangent function to find the length of PQ. Tan(angle PQR) = PQ/MP. Substituting the given values, tan(75) = PQ/18. Solving for PQ, we get PQ ≈ 33.48.

Therefore, the correct answer is b. QR = 18.